Answer:
Step-by-step explanation:
y-y1=m(x-x1)
y+7=2(x+5)
y+7=2x+10
2x-y=-3
Find the distance between point P and point E. A) 4 B) 6 C) 7 D) 9
Answer:
7, you are correct
Step-by-step explanation:
Just count the units across.
Please help me solve this..
Consider Vectors A = 3, −12 , B = −1, 4 , And C = 0. Determine The Non-Zero Scalars And Such That C = A +
Tthe non-zero scalar 'k' such that vector C is equal to the sum of vector A and k times vector B, we can solve the equation C = A + kB. By substituting the given values of vectors A, B, and C into the equation, we can determine the value of the scalar 'k'.
Let's consider the equation C = A + kB, where C, A, and B are vectors, and k is the scalar we need to determine. Substituting the given values, we have:
C = A + kB
(0) = (3, -12) + k(-1, 4)
Expanding the equation, we get:
(0) = (3 - k, -12 + 4k)
From the equation, we can derive two separate equations for the x-component and y-component:
0 = 3 - k (for x-component)
0 = -12 + 4k (for y-component)
Solving the first equation for k, we find:
k = 3
Substituting this value into the second equation to check if it holds true:
0 = -12 + 4(3)
0 = -12 + 12
0 = 0
Since both components of the equation evaluate to 0, the scalar 'k' is 3. Thus, C = A + 3B.
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Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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Find the difference in the given lengths of the polygons . (7x + 2) units (6x - 5) units .
Answer:
Difference in the lengths of the polygons is (x + 7) units.
Step-by-step explanation:
Lengths of the given polygon = (7x + 2) units and (6x - 5) units
Therefore, difference in the given lengths = (7x + 2) - (6x - 5)
= (7x - 6x) + (2 + 5)
= x + 7
Therefore, difference in the lengths of the polygons is (x + 7) units.
Need answer PLS will give brainiest
Answer:
n=-6
Step-by-step explanation:
What are the three types of horizontal asymptotes?
There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
This measure of central tendency can be considered the most precise.
a. mode
b. median
c. mean
d. average
This measure of central tendency can be considered the most precise in option c. mean
The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.
The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.
However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.
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Julia's bedroom is 10 feet by 10 feet. She wants to place a circular rug
in the corner or her room. She places a rug with a radius of 2 feet in her
room. How much of her bedroom floor, in
square feet, is not covered by the rug? Use 3.14
for r. Round to the nearest tenth.
Answer:
87.4 sq ft uncovered
Step-by-step explanation:
Total room area - rug area
(10 * 10) - pi (2)^2 =
All squares are also rhombuses.
True or false
Answer:
true
Step-by-step explanation:
Cause if you draw a square and turn it, its gone be a rhombus
Answer:
True
Step-by-step explanation:
Can you help me with number 19? I am confused with it
To answer this question, we will use the trigonometric function tangent. Recall that in a right triangle:
\(\tan \theta=\frac{opposite\text{ leg}}{adjacent\text{ leg}}.\)In the given triangle, θ=25°, adjacent leg=x, and opposite leg=10, therefore:
\(\tan 25^{\circ}=\frac{10}{x}.\)Solving the above equation for x, we get:
\(x=\frac{10}{tan25^{\circ}}.\)Simplifying the above result we get:
\(x\approx21.45.\)Answer:
\(x\approx21.45\)06.06 Transitioning to the End Worksheet
Answer the following questions in complete sentences that reflect on the narrative writing process.• Prompt 1: There is one door you pass every day that is always locked. However, one day, you pass by and it's slightly ajar. You decide to walk in. Plan a narrative about what you find and what happens when you enter.
Reflection Question My Response
Which plot element (exposition, rising action, climax, falling action, resolution) was the most difficult to write? Why?
Which two narrative techniques (dialogue, flashback, foreshadowing, juxtaposition, pacing, sensory details) did you use in your writing?
Copy and paste an example of each from your narrative.
What is the theme (or lesson learned) from your narrative? Use a complete sentence.
The narrative techniques used in this story are:
sensory detailsforeshadowing.The theme of this narrative is to never give up and to always follow your curiosity.
In the narrative, the climax is the most challenging part because it was the point where the story reached its highest level.
Narrative of the reflected sentence:I noticed the locked door that I passed every day was slightly ajar as I walked by it. Curiosity got the better of me, and I pushed the door open, eager to see what was inside.
The room was dark, but as my eyes adjusted to the dim light, I realized I'd found a forgotten storage room. The room was cluttered with old boxes and furniture, but as I rummaged through it, I discovered a small locked chest.
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Find the volume and show work
Answer:
Volume = 2512 km³
Volume = 800π km³
Step-by-step explanation:
Volume Cylinder = Area circle * height
Let's input the info
Formula for the Area of a circle = πr²
Area circle = π*100
Since it asks to leave in terms of π or tenths ill give both.
Area circle = 100π
Area circle = 314
Volume = 100π * 8
Volume = 800π
Volume = 314 * 8
Volume = 2512
Units = km³
Volume = 800π km³
Volume = 2512 km³
If my answer is incorrect, pls correct me!
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A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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A sequence is defined by g(1) = 3 and g(n) = 2 • g(n-1) for n > 0. Which statement defines the nth term of g?
A. G(n) = 3 + 2(n-1) for n ≥ 1
B. G(n) = 3 + 2n for n ≥ 1
C. G(n) = 3 • 2^n-1 for n ≥ 1
D. G(n) = 3 • 2^n for n ≥ 1
Answer:
because g(n) = 2.g(n - 1) => this is a geometric progression
=> g(n) = 3.2^(n-1)
Step-by-step explanation:
you and 9 friends are playing a game of basketball. after the game is overall, everyone shakes hands. how many distinct handshakes took place if every player shook hands with everyone who played?
45 Distinct handshakes took place when every player shook hands with everyone who played.
To find out how many distinct handshakes took place if every player shook hands with everyone who played, we will
use the concept of combinations.
Identify the number of players involved, which is 10 (you plus 9 friends).
Use the formula for combinations: C(n, k) = n! / [k! × (n-k)!],
where n is the total number of players and k is the number of players in each handshake (which is 2).
Plug in the values: C(10, 2) = 10! / [2! × (10-2)!].
Calculate the factorial values: 10! = 3,628,800, 2! = 2, and 8! = 40,320.
Plug in the factorial values and calculate: C(10, 2) = 3,628,800 / (2 × 40,320) = 3,628,800 / 80,640 = 45.
So, 45 distinct handshakes took place when every player shook hands with everyone who played.
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write tan(t)/cos(t) in terms of sin(t)
\(\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\\)
Please help me NO LINKS PLEASE ✌︎('ω'✌︎ )
Answer:
substitution method
x = 7
y = 2
Step-by-step explanation:
2x - 2y = 10
x = 7
substitute for x:
2(7) - 2y = 10
14 - 2y = 10
subtract 14 from each side of the equation:
-2y = -4
divide both sides by -2:
y = 2
This table shows the battery percentage of a phone after it has been used for x hours.
When graphed, all of these points lie on the same line.
What is the y-intercept and slope of this line?
Drag an answer into each box.
its a test for k 12. help
Answer:
Slope: -17/3 Y-intercept: 100
Step-by-step explanation:
I took the test. Hope this helps.
♡ The Question/Task(s)! ♡
-What is the y-intercept and slope of this line?
*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer(s)! ♡
-The answers are, Slope: -17/3, Y-Intercept: 100!
I apologize in advance if the answer is incorrect! ♡
*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation(s)/Step-By-Step! ♡
-The other person was correct! =)
*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tip(s)! ♡
-No Tip(s) Provided!
Use the figure below to complete the following problem.Given:R, S, T are midpoints of AC, AB, and CB.RS =½CB½RT½AB
The answer is 1/2 CB , because CB is the segment parallel to RS. And since the midpoints are joined it must be half
in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ
11) the standard ic test has a mean of 96 and a standard deviation of 14. we want to be 99% certain that we are within 4 10) points of the true mean. determine the required sample size. a) 1 b) 82 c) 178 d) 10
the required sample size is approximately 178. Answer (c) is correct.To determine the required sample size, we can use the formula:
n = (z * σ / E)^2
where:
- n is the sample size
- z is the z-score for the desired level of confidence (99% corresponds to z = 2.58)
- σ is the standard deviation of the population
- E is the maximum error we want to allow in our estimate of the population mean
Plugging in the values given in the problem, we get:
n = (2.58 * 14 / 4)^2 ≈ 178
Therefore, the required sample size is approximately 178. Answer (c) is correct.
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Solve for x: (5x + 28)° (4x + 30)°
Answer:
x = 2
Step-by-step explanation:
The 2 angles are vertical and congruent, thus
5x + 28 = 4x + 30 ( subtract 4x from both sides )
x + 28 = 30 ( subtract 28 from both sides )
x = 2
Find an equation of the line with x-intercept 8 and y-intercept 4
Answer:
y = -1/2x + 4
Step-by-step explanation:
We have two points ( 8,0) and ( 0,4)
We can find the slope
m =(y2-y1)/(x2-x1)
= (4-0)/(0-8)
4/-8
-1/2
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/2x + 4
Answer:
Step-by-step explanation:
eq. of line with intercepts a and b is
\(\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\\)
please help math 30 points
Answer:
144.288
Step-by-step explanation:
yes because I just took the tes
what is the closest alloweable distance of the perpendicular distance between a point in face 2 and datum a
The closest allowable distance that a randomly chosen datum falls within the required 2 standard deviations of the mean is 0.95.
The likelihood that a data is within two standard deviations of the mean
By observation, the distribution depicted in the task content above is a normal distribution.
One can tell the difference between the following .
In the case of a standard normal distribution, 68% of the observations (datum) are within one standard deviation of the mean, 95% are within two standard deviations of the mean, and 99.9% are within three standard deviations of the mean.
On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.
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Find the calories in 25 potato chips if 10 potato chips contain 115 calories.
A. 140.5 calories
B. 287.5 calories
C. 230.0 calories
D. 250.0 calories
Answer:
b
Step-by-step explanation:
115 / 10 is 11.5
multiply 25 x 11.5
There are 287.5 calories in 25 potato chips. Therefore, option B is the correct answer.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 10 potato chips contain 115 calories.
Number of calories in one potato chips = Total number of calories ÷ Number of calories
= 115/10
= 11.5 calories
Number of calories in 25 potato chips
= 25×11.5
= 287.5 calories
Therefore, the number of calories in 25 potato chips is 287.5 calories.
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What are the coordinates of the center and the length of the radius of the circle
whose equation is-y-12y-20 25-07
a) center (0.5) and radius 7.5
c) center (0-6) and radius 75
b) center (0.12) and radius 45
d) center (-12) and radius 4,5
The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;
Center (0, 6) and radius 7.5
What is the general form of the equation of a circle?The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;
(h, k) = The coordinates of the center of the circle
r = The measure of the length of the radius
The possible equation obtained from a similar question on the internet can be presented as follows;
x² + y² - 12·y - 20.25 = 0
The above equation can be evaluated using the completing the square method and excluding the x² term as follows;
y² - 12·y - 20.25 = 0
y² - 12·y = 20.25
y² - 12·y + (-12/2)² = 20.25 + (-12/2)²
y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25
(y - 6)² = 56.25
Therefore;
y - 6 = √(56.25) = ±7.5
The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²
The center of the circle is therefore;
(h, k) = (0, 6)
The radius of the circle, r = 7.5
The possible correction is therefore, option (a), where the 5 is a typing error
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A square has sides of length 36.5 yards. What is the area?
Answer:
1332.25 yd²
Step-by-step explanation:
To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.
36.5 * 36.5=1332.25
A town recently dismissed 6 employees in order to meet their new budget reductions. The town had 9 employees over 50 years of age and 16 under 50. If the dismissed employees were selected at random, what is the probability that less than 5 employees were over 50?
The probability that less than 5 employees were over 50 is approximately 0.5637, or 56.37%.
To calculate the probability that less than 5 employees were over 50, we need to consider all possible combinations of dismissing employees.
1: Determine the number of ways to choose less than 5 employees over 50.
We can choose 0, 1, 2, 3, or 4 employees over 50.
For choosing 0 employees over 50:
Number of ways = C(16, 6) = 8008
For choosing 1 employee over 50:
Number of ways = C(9, 1) * C(16, 5) = 9 * 4368 = 39312
For choosing 2 employees over 50:
Number of ways = C(9, 2) * C(16, 4) = 36 * 1820 = 65520
For choosing 3 employees over 50:
Number of ways = C(9, 3) * C(16, 3) = 84 * 560 = 47040
For choosing 4 employees over 50:
Number of ways = C(9, 4) * C(16, 2) = 126 * 120 = 15120
2: Calculate the total number of ways to choose any 6 employees from the total pool of 25 employees.
Number of ways = C(25, 6) = 177100
3: Calculate the probability by summing up the number of ways from Step 1 and dividing it by the number of ways from Step 2.
Probability = (Sum of number of ways from Step 1) / (Number of ways from Step 2)
Probability = (8008 + 39312 + 65520 + 47040 + 15120) / 177100
Probability = 56.37%
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